Did a name change just for this thread, OP, as I could have written it. It's very difficult and I know what you are going through. I am bringing up two on my own completely, along with trying to hold down a stressful job. I get it. The loneliness, the buck stopping with you, the pain.
Worst of all, others saying to take time for you or fix your own breathing mask first, as if babysitters, spa days and therapy don't cost £££.
I look at Meghan Markle and think everyone thinks she is the problem/the narc (on here anyway) as she only has Doria. Then you have Posh and her son. So being LC/NC can affect every bugger, rich or poor.
But it is tough, being on your own, trying to brave it out, keep calm, carry on, rinse and repeat.
I trauma dump to my ex as he is the one who will listen, given I am at the rock face of parenting and he is doing sod all in comparison (not in same country). He sucks it up for that reason only. I seldom speak to anyone else. They genuinely don't get it. And I don't believe anymore that a problem shared is a problem solved/misery loves company. Most want you to pretend you are okay and keep going.
Am I the LCD in my NC/LC relationships? Yes.
Am I the problem? Yes.
But I cannot change all of me.
Nor can I change other people.
Dad - left - controlling - is around but health issues - always very much a focus on the positive. LC as he does not want me to visit and calls easier if I am upbeat. I am not upbeat often so I don't call often.
Mum - enabled an abusive stepparent - is around but widowed and exploring new freedom. LC as not bothered whether I visit or not. Loves me "warts and all." See her sporadically.
Older sister - NC with our Dad - thinks I did not take her side. NC as she wants nothing to do with me. Has rejected all attempts at reconcilliation.
Younger sister - lost touch - sees mum - we have no relationship but nor have we fallen out.
Younger brother - LC - lives abroad but relationship cordial.
Daughter - NC - angry at her own childhood and me leaving with her siblings. She stayed with her father, her choice due to schooling. And thinks I do not like her partner. This is the only one that absolutely kills me. But I am trying to respect her wishes.
So - 6 people
LC with 3 one benign/NC with 3 one benign
The LC is their choice really. I would visit in a heartbeat but grandchildren are an issue for them (takes energy they don't have).
Two of the NC is absolutely their choice. I would never have gone non-contact. Loved them both. Love them still. But if they have to protect themselves because they view me as impacting their mental health negatively then I have to respect that boundary. No choice on that but a catch 22 - infringe it and you won't listen; accept it and you don't care.
I think many dysfunctional families have their issues and ACEs and we are all just trying to survive from day to day and try not to repeat patterns and that takes energy.
My advice to you is to expend the energy you have on the things you can change, on the three children you have and to not wallow in the grief and resentment of things out of your control or others' perception of you. They may be wrong. They may be right. But you need to focus on your kiddies' needs so that future you can look back and know you did your best under tough circumstances. Try to be more self-reliant - that doesn't mean not seeing your sister at all at weekends, but not every weekend, especially if it is only since your break up. Let her lead the way. Sadly that might mean it is less contact than you yourself need, but at least you won't be made to feel like you are putting on her/imposing.
And be aware of course that how you view things won't be their version. As with most things, the truth lies in the middle. So you are not a drain or needy or a misery nor are you a constant delight and never a chore. It will be somewhere in the middle probably.
I feel for you and hope things get better eventually x